X Your answer is incorrect. Find the general solution of the given system of equations. 4 -1 x' x = ( ₁5 1¹ ) x + ( ) ² 15 X = C1 ¹ (1) ² 5 e + C₂ -t 1/2 ( 13 ) te² + 3 (1) +(Q)₁-(1) e²t X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The same Q both picture
X Your answer is incorrect.
Find the general solution of the given system of equations.
4
-1
x'
x = ( ₁5 1¹ ) x + ( )
15
X =
¹ (1) ²
5
C1
-t
1/2 ( 13 ) te ²
3
(¹)
(1)+(Q)₁-(1)
e + C₂
+
X
Transcribed Image Text:X Your answer is incorrect. Find the general solution of the given system of equations. 4 -1 x' x = ( ₁5 1¹ ) x + ( ) 15 X = ¹ (1) ² 5 C1 -t 1/2 ( 13 ) te ² 3 (¹) (1)+(Q)₁-(1) e + C₂ + X
Choose one
a ( 1 ) ²¹ + a₂( 3 ) ² + + 1 ( 3 ) ₁²
-t
e
tet
-4(0)--(1)-(9)
e²t
+
5
a(z)e-a ( 1 ) e ¹ - ( 1 ) ₁
²
tet
5
3
5
a¹₁( 3² ) e ¹ + a2₂ ( 1 ) e² + 1/2 ( ²3 ) te²
C2
+
e +
5
a ( 1² ) ² + + a₂ ( 1 ) e
- (G) ¹+ (1) ₁ (1)
3
5
α₁ ( ² ) e ² + c₂ ( ² ) e ¹ +
CL
C2
5
1) tet
3
tet
3
- ³1 ( 1 ) + ( 1 ) ₁ - ( i )
et
t-
4
5
Transcribed Image Text:Choose one a ( 1 ) ²¹ + a₂( 3 ) ² + + 1 ( 3 ) ₁² -t e tet -4(0)--(1)-(9) e²t + 5 a(z)e-a ( 1 ) e ¹ - ( 1 ) ₁ ² tet 5 3 5 a¹₁( 3² ) e ¹ + a2₂ ( 1 ) e² + 1/2 ( ²3 ) te² C2 + e + 5 a ( 1² ) ² + + a₂ ( 1 ) e - (G) ¹+ (1) ₁ (1) 3 5 α₁ ( ² ) e ² + c₂ ( ² ) e ¹ + CL C2 5 1) tet 3 tet 3 - ³1 ( 1 ) + ( 1 ) ₁ - ( i ) et t- 4 5
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